Question
Asked Oct 10, 2019

The radioisotope sodium-24 is used to determine the levels of electrolytes in the body. A 16microg sample of sodium-24 decays to 2.0 mg in 45 h. What is the half-life, in hours, of sodium-24?

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Expert Answer

Step 1

The term half life can be defined as the time taken by a given quantity to reduce to half of the initial value or the time in which a given sample is half decayed is also known as half life.

Step 2

To calculate the half -life, decays constant is calculated first as follows:

Here N0 is the initial concentration of Sodium-24 which is given to be 16 micrograms.

N is the concentration of the sample after 45 hours which is given to be 2 micrograms.

And lambda is the decay constant.

N=Ne*
InN-In N-ht
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N=Ne* InN-In N-ht

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Step 3

Now,

...
2.0
=-Ax45 h
In
16.0
-2.08--x45 h
=0.046/h
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2.0 =-Ax45 h In 16.0 -2.08--x45 h =0.046/h

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